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Popular >

extreme f(x)=-x^2+7x-7

Solution

extreme points

f (x) = - x^{2} + 7 x - 7

Solution

Maximum (\frac{7}{2}, \frac{21}{4})

Solution steps

f^{'} (x) = - 2 x + 7

Find intervals:

Increasing

: - \infty < x < \frac{7}{2},

Decreasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

- x^{2} + 7 x - 7 : \frac{21}{4}

Maximum (\frac{7}{2}, \frac{21}{4})

Popular Examples

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f (x) = x^{3} + x^{2} - 46 x + 80

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f (x, y) = 2 y^{2} - x y + 6 y^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+7x-7 ?
The extreme f(x)=-x^2+7x-7 is Maximum(7/2 , 21/4)